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Article Dans Une Revue Archive for Rational Mechanics and Analysis Année : 2016

Doubly connected V-states for the generalized surface quasi-geostrophic equations

Résumé

In this paper, we prove the existence of doubly connected V-states for the generalized SQG equations with $\alpha\in ]0,1[.$ They can be described by countable branches bifurcating from the annulus at some explicit "eigenvalues" related to Bessel functions of the first kind. Contrary to Euler equations \cite{H-F-M-V}, we find V-states rotating with positive and negative angular velocities. At the end of the paper we discuss some numerical experiments concerning the limiting V-states.

Dates et versions

hal-01100264 , version 1 (06-01-2015)

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Francisco de La Hoz, Zineb Hassainia, Taoufik Hmidi. Doubly connected V-states for the generalized surface quasi-geostrophic equations. Archive for Rational Mechanics and Analysis, 2016, 220 (3), pp.1209-1281. ⟨10.1007/s00205-015-0953-z⟩. ⟨hal-01100264⟩
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